Information on Result #732971
Linear OA(2544, 391230, F25, 10) (dual of [391230, 391186, 11]-code), using (u, u+v)-construction based on
- linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- linear OA(2537, 390629, F25, 10) (dual of [390629, 390592, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2533, 390625, F25, 9) (dual of [390625, 390592, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2544, 195615, F25, 2, 10) (dual of [(195615, 2), 391186, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2544, 78246, F25, 10, 10) (dual of [(78246, 10), 782416, 11]-NRT-code) | [i] | OA Folding and Stacking | |